Knots and Feynman Diagrams

Klappentext Up-to-date introduction to applications of knot theory and Feynman diagrams to quantum field theory. Zusammenfassung Provides an accessible and up-to-date introduction to how knot theory and Feynman diagrams can be used to illuminate problems in quantum field theory. Dealing with material at perhaps the most productive interface between mathematics and physics! this book will be of interest to theoretical and particle physicists! and mathematicians. Inhaltsverzeichnis 1. Introduction; 2. Perturbative quantum field theory; 3. The Hopf algebra structure of renormalization; 4. Rationality: no knots, no transcendentals; 5. The simplest link diagrams; 6. Necessary topics from knot theory; 7. Knots to numbers; 8. One-loop words; 9. Euler-Zagier sums; 10. Knots and transcendentals; 11. The 4-term relation; 12. Hopf algebras, non-commutative geometry, and what else?

Product details

• Authors: Dirk Kreimer, Dirk (Johannes Gutenberg Universitat Mainz Kreimer
• Assisted by: Peter Goddard (Editor), Julia Yeomans (Editor)
• Publisher: Cambridge University Press Academic
• Languages: English
• Product format: Paperback / Softback
• Released: 20.07.2000
• EAN: 9780521587617
• ISBN: 978-0-521-58761-7
• Dimensions: 155 mm x 225 mm x 15 mm
• Series: Cambridge Lecture Notes in Phy; Cambridge Lecture Notes in Physics; Cambridge Lecture Notes in Phy
• Subject: Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics